Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
The line needs to be 8.06 m long
Explanation
Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.
The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.
base=4m
height=7m
hypotenuse can be determined using pythagoras law
Answer:
-27.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Putting x = -3 to find f(-3)
as
∵ 
so
∵ 
Thus,
Answer:
40 minutes
Step-by-step explanation:
The least common multiple of 8 minutes and 10 minutes is ...
LCM(8, 10) = 8·10/GCD(8, 10) = 80/2 = 40
The red and blue trains will arrive together again in 40 minutes
